Modified Hamiltonian formalism for Regge Teitelboim Cosmology

Abstract

The Ostrogradski approach for the Hamiltonian formalism of higher derivative theory is not satisfactory because of the reason that the Lagrangian cannot be viewed as a function on the tangent bundle to coordinate manifold. In this article, we have used an alternative approach which leads directly to the Lagrangian which, being a function on the tangent manifold, gives correct equation of motion; no new coordinate variables need to be added. This approach can be directly used to the singular (in Ostrogradski sense) Lagrangian. We have used this method for the Regge Teitelboim (RT) minisuperspace cosmological model. We have obtained the Hamiltonian of the dynamical equation of the scale factor of RT model.

11 pages, 0 figures, Accepted in Physics Research International (article in press). arXiv admin note: substantial text overlap with arXiv:1307.4920, arXiv:1005.3941 by other authors

References in corpus (11)

• Avoiding Dark Energy with 1/R Modifications of Gravity
• More on Massive 3D Supergravity
• Ostrogradski approach for the Regge-Teitelboim type cosmology
• Gauge invariances of higher derivative Maxwell-Chern-Simons field theory -- a new Hamiltonian approach
• On the higher-derivative supersymmetric gauge theory
• New Hamiltonian analysis of Regge Teitelboim minisuperspace cosmology
• Gauge symmetry and W-algebra in higher derivative systems
• Hamiltonian dynamics of extended objects: Regge-Teitelboim model
• Hamiltonian dynamics for Einstein's action in G$\to$0 limit
• Quantum modified Regge-Teitelboim cosmology
• Quantum charged rigid membrane